### PROPORTIONS TEST FOR k INDEPENDENT SAMPLES WITH COMPLETELY SPECIFIED
### NULL HYPOTHESIS PROBABILITIES

### DESCRIPTION:
###    Tests whether underlying proportions for the k samples are equal to specified
###    probabilities.

### REQUIRED ARGUMENTS:
###    x = vector of k elements containing the number of successes for each sample.
### 	n = vector of k elements containing the total number of trials for each sample.
###    p = vector of k elements containing the specified probabilities.
###    NOTE:  elements in x, n, and p must all correspond with one another.

x <- c(83,90,129,70)

n <- c(86,93,136,82)

p <- c(.95,.95,.95,.90)

conf.level <- .95

prop.test(x,n,p=p,conf.level=conf.level,correct=T)